A spaceship flies past a space station. An observer in the spaceship measures the spaceship’s length to be 65 m, while an observer in the space station measures the spaceship’s length to be 25 m. Find the spaceship’s speed with respect to the space station.

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1. A spaceship flies past a space station. An observer in the spaceship measures the spaceship’s length to be 65 m, while an observer in the space station measures the spaceship’s length to be 25 m. Find the spaceship’s speed with respect to the space station. 

2. Compute the kinetic energy of a proton using both the nonrelativistic and relativistic expressions, and compute the ratio of the two results (relativistic divided by nonrelativistic) for a speed of 8.00×10^7 m/s.

3. What is the speed of a proton whose kinetic energy equals its rest energy?

4. An electron moves at 0.950c. Calculate (a) rest energy of the electron, (b) total energy of the electron and (c) kinetic energy of the electron.

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